Check all that apply. π/6 is the reference angle for:

a. 8π/6
b. 13π/6
c. 3π/6
d. 5π/6

The correct is choice B.

Step-by-step explanation:

π/6 is an angle located in the first quadrant. Consequently, the equivalent angle for which it references should also be located in this same quadrant and is obtained by adding 2π to π/6 which becomes 13π/6

Option B. 13π/6 and Option D. 5π/6

Step-by-step explanation:

To get the reference angle π/6 for the given angles we will check each angle given in the options.

A. 8π/6

Since 8π/6 means 240° which lies in 3rd quadrant. Therefore reference angle of 240°= 240-180 = 60° or π/3

B. 13π/6

13π/6 means 390° which lies in first quadrant.

Therefore reference angle = 390-360 = 30° or π/6

C. 3π/6

Since 3π/6 means 90° therefore reference angle of 90° is the same as 90°.

Or the reference angle is = π/2

D. 5π/6

5π/6 means angle is 150° which lies in second quadrant therefore reference angle of 150° = 180-150 = 30° or π/6

answer is Option B and D.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

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step-by-step explanation: